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We study the relationship between the symbol of the Dirichlet-to-Neumannoperator associated with a connection Laplacian, and the geometry on and nearthe boundary. As a consequence, we show that the geometric data on theboundary, and when the dimension of the base is greater than two allcorresponding normal derivatives, are determined by the symbol.

On the Dirichlet-to-Neumann operator for the Connection Laplacian